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Finding the Fourth Proportional to 563.21, 842.75 and 332.20

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Solution

The fourth proportional to 563.21, 842.75 and 332.20 is: 497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.21 : 842.75 = 332.20 : x
  2. Step 2: Convert to fraction form
    563.21/842.75 = 332.20/x
  3. Step 3: Cross multiply
    563.21x = 842.75 × 332.20
  4. Step 4: Simplify right side
    563.21x = 279,961.55
  5. Step 5: Solve for x
    x = 279,961.55/563.21
  6. Step 6: Final answer
    x = 497.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.